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erma4kov [3.2K]
3 years ago
7

Aran moved a cone-shaped pile of sand that had a height of 6 ft and a radius of 3 ft. He used all of the sand to fill a cylindri

cal pit with a radius of 6 ft. How high did the sand reach in the pit? Use 3.14 to approximate pi
Mathematics
1 answer:
VMariaS [17]3 years ago
5 0
Volume of sand = Volume of sand in the cylindrical pi
1/3 πr^2h = πr^2h
1/3 x 3.14 x 3^2 x 6 = 3.14 x 6^2 x h
6h = 3
h = 3/6 = 1/2 ft

The height of the sand in the pit is 0.5 ft.
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A theater has a discount pass that cost nine dollars with the past admission is $6.50 per movie. mike tyrell and juanita all bou
tia_tia [17]

Answer:

They saw <u>24</u> movies.

Step-by-step explanation:

The question is incomplete so the complete question is below:

A theater has a discount pass that cost nine dollars with the pass, admission is $6.50 per movie. Mike, Tyrell and Juanita all bought a pass and went to see movies together they spent a total of $183. Write and solve an equation to find out how many movies they saw.

Now, to find the number of movies they saw.

Let the number of movies they saw be x.

Discount pass = $9.

With the pass admission per movie is $6.50.

Total number of people = 3.

Total money spent = $183.

So, to get the number of movies they saw we write an equation:

3(9)+6.50(x)=183

Now, to solve the equation:

3(9)+6.50(x)=183

27+6.50x=183

<em>Subtracting on both sides by 27 we get:</em>

6.50x=156

<em>Dividing both sides by 6.50 we get:</em>

x=24.

Therefore, they saw 24 movies.

4 0
3 years ago
4 - x + <img src="https://tex.z-dn.net/?f=6%5E%7B2%7D" id="TexFormula1" title="6^{2}" alt="6^{2}" align="absmiddle" class="latex
Lemur [1.5K]

Answer:

x ≤ 19

Step-by-step explanation:

The instructions here are probably "solve for x."  Please include them.

4 - x + 6^2 ≥  21

becomes 4 - x + 36 ≥  21

Now combine like terms.  4 and 36 combine to 40:  40 - x ≥ 21, and so:

19 - x ≥ 0

Adding x to both sies results in

x ≤ 19

Please, include the instructions when you post a question.  Thanks.

3 0
3 years ago
What is the most accurate representation of the area of a plot measuring 11.7cm by 15.4cm ?
Aleks04 [339]
Area=width*height
area=(11.7)*(15.4)
area=180.18cm^2
7 0
3 years ago
Find the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor. J(2,
MAVERICK [17]

Applying a dilation centered at the origin with scale factor k has the effect of multiplying both coordinates of a point by k:

(x,y)\mapsto (kx,ky)

So, in your case, the coordinates of the points double:

J'=(4,8),\quad K'=(8,8),\quad P'=(6,4)

4 0
3 years ago
Help please................
Zinaida [17]
The answer is yes she incorrectly graphed using the points (-2,4) instead of the point (4,-2). This is the answer because if you solve the equation given you should get y=-3/5x+2/5 so a and e will be wrong and if you plug one of the points in you will give a untrue statement so its not d so you are left with b and c so you plug in the end request and you get a true statement with b equaling -2 if you plug in 4 in for x
5 0
3 years ago
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